If `x` is an odd integer, then which of the following is true? `5x\ \ 2` is even (b) `5x^2+\ 2\ ` is odd `5x^2\ +3` is odd (d) None of these

If f(x) and g(x) are odd functions of x, then which of the following is true?

x, y and z are distinct positive integers in which x and y are odd and z is even. Which of thefollowing can not be true ? (1) (x-z)^2 y is even (2) (x-z)^2y^2 is odd (3) (x-z)y is odd(4) (x-y)^2z is even

If x -= y (mod 2), then which of the following are correct ? (A) x is even and y is odd. (B) Both x and y are odd. (C) Both x and y are even.

Which of the following functions are even and which odd? f(x)=x^4+x^2

Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not equal to 1 and f(x) is an odd function. Which of the following statements is true? (a)G(x) is an odd function (b)G(x)i s an even function (c)G(x) is neither even nor odd function. (d)Whether G(x) is an odd or even function depends on the value of a

If f(x) is an odd function,then write whether f'(x) is even or odd.